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Finding the Fourth Proportional to 3,761.70, 5,189.04 and 2,189.58

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Solution

The fourth proportional to 3,761.70, 5,189.04 and 2,189.58 is: 3,020.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,761.70 : 5,189.04 = 2,189.58 : x
  2. Step 2: Convert to fraction form
    3,761.70/5,189.04 = 2,189.58/x
  3. Step 3: Cross multiply
    3,761.70x = 5,189.04 × 2,189.58
  4. Step 4: Simplify right side
    3,761.70x = 11,361,818.20
  5. Step 5: Solve for x
    x = 11,361,818.20/3,761.70
  6. Step 6: Final answer
    x = 3,020.39

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.